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19 December, 11:10

Use f (x) = 1 2 x and f - 1 (x) = 2x to solve the problems.

f-1 (-2) =

f (-4) =

f (f-1 (-2)) =

+3
Answers (1)
  1. 19 December, 12:47
    0
    The answer to your question is below

    Step-by-step explanation:

    Functions

    f (x) = 12x f⁻¹ (x) = 2x

    a) f⁻¹ (-2) = 2 (-2)

    f⁻¹ (-2) = - 4

    b) f (-4) = 12x

    f (-4) = 12 (-4)

    f (-4) = - 48

    c) f (f⁻¹ (-2)) =

    f (f⁻¹ (x)) = 12 (2x) = 24x

    f (f⁻¹ (-2)) = 24 (-2) = - 48

    I think your functions are wrong they must be f (x) = 1/2x f⁻¹ (x) = 2x

    a) f⁻¹ (-2) = 2 (-2)

    = - 4

    b) f (-4) = 1/2 (-4)

    = - 2

    c) f (f⁻¹ (x)) = 1/2 (2x)

    = x

    f (f⁻¹ (-2)) = - 2
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